(* Content-type: application/vnd.wolfram.mathematica *)

(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)

(* CreatedBy='Mathematica 10.4' *)

(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[       158,          7]
NotebookDataLength[     14460,        518]
NotebookOptionsPosition[     10115,        375]
NotebookOutlinePosition[     13090,        463]
CellTagsIndexPosition[     12982,        457]
WindowTitle->OPEi
WindowFrame->Normal*)

(* Beginning of Notebook Content *)
Notebook[{
Cell[BoxData[GridBox[{
   {Cell["FEYN CALC SYMBOL", "PacletNameCell"], Cell[TextData[Cell[BoxData[
     ActionMenuBox[
      FrameBox[
       InterpretationBox[Cell[TextData[{
         "URL",
         StyleBox[" \[FilledDownTriangle]", "AnchorBarArrow",
          StripOnInput->False]
        }]],
        TextCell[
         Row[{"URL", 
           Style[" \[FilledDownTriangle]", "AnchorBarArrow"]}]]],
       StripOnInput->False], {"\<\"FeynCalc/ref/OPEi\"\>":>
      None, "\<\"Copy Wolfram Documentation Center URL\"\>":>
      Module[{DocumentationSearch`Private`nb$}, 
       DocumentationSearch`Private`nb$ = NotebookPut[
          Notebook[{
            Cell["FeynCalc/ref/OPEi"]}, Visible -> False]]; 
       SelectionMove[DocumentationSearch`Private`nb$, All, Notebook]; 
       FrontEndTokenExecute[DocumentationSearch`Private`nb$, "Copy"]; 
       NotebookClose[DocumentationSearch`Private`nb$]; Null], 
      Delimiter, "\<\"Copy web URL\"\>":>
      Module[{DocumentationSearch`Private`nb$}, 
       DocumentationSearch`Private`nb$ = NotebookPut[
          Notebook[{
            Cell[
             BoxData[
              MakeBoxes[
               Hyperlink[
               "http://reference.wolfram.com/language/FeynCalc/ref/OPEi.html"]\
, StandardForm]], "Input", TextClipboardType -> "PlainText"]}, Visible -> 
           False]]; SelectionMove[
        DocumentationSearch`Private`nb$, All, Notebook]; 
       FrontEndTokenExecute[DocumentationSearch`Private`nb$, "Copy"]; 
       NotebookClose[DocumentationSearch`Private`nb$]; 
       Null], "\<\"Go to web URL\"\>":>FrontEndExecute[{
        NotebookLocate[{
          URL[
           StringJoin[
            If[
             TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$195911], 
             "http://reference.wolfram.com/system-modeler/", 
             "http://reference.wolfram.com/language/"], "FeynCalc/ref/OPEi", 
            ".html"]], None}]}]},
      Appearance->None,
      MenuAppearance->Automatic,
      MenuStyle->"URLMenu"]],
     LineSpacing->{1.4, 0}]], "AnchorBar"]}
  }]], "AnchorBarGrid",
 GridBoxOptions->{GridBoxItemSize->{"Columns" -> {
     Scaled[0.65], {
      Scaled[0.34]}}, "ColumnsIndexed" -> {}, "Rows" -> {{1.}}, 
   "RowsIndexed" -> {}}},
 CellID->1],

Cell[TextData[{
 Cell["OPEi", "ObjectName"],
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{8, 0}],
    CacheGraphics->False],
   Spacer[8]]]],
 Cell[BoxData[""], "ObjectNameTranslation"]
}], "ObjectNameGrid"],

Cell[BoxData[GridBox[{
   {"", Cell[TextData[{
     Cell[BoxData["OPEi"], "InlineFormula"],
     " \[LineSeparator]",
     "etc. are variables with DataType PositiveInteger which are used in \
functions relating to the operator product expansion."
    }]]}
  }]], "Usage",
 GridBoxOptions->{
 GridBoxBackground->{
  "Columns" -> {{None}}, "ColumnsIndexed" -> {}, "Rows" -> {{None}}, 
   "RowsIndexed" -> {}}},
 CellID->982511436],

Cell[CellGroupData[{

Cell[TextData[{
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{6, 0}],
    CacheGraphics->False],
   Spacer[6]]]],
 "Examples",
 "\[NonBreakingSpace]\[NonBreakingSpace]",
 Cell["(1)", "ExampleCount"]
}], "PrimaryExamplesSection",
 WholeCellGroupOpener->True,
 CellTags->"PrimaryExamplesSection",
 CellID->298343333],

Cell[CellGroupData[{

Cell[TextData[{
 "Basic Examples",
 "\[NonBreakingSpace]\[NonBreakingSpace]",
 Cell["(1)", "ExampleCount"]
}], "ExampleSection", "ExampleSection",
 WholeCellGroupOpener->True,
 CellID->1847219150],

Cell[CellGroupData[{

Cell[BoxData["OPEi"], "Input",
 CellTags->"OPEi",
 CellLabel->"In[1]:=",
 CellID->1513541744],

Cell[BoxData[
 FormBox["i", TraditionalForm]], "Output",
 ImageSize->{13, 14},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"OPEi",
 CellLabel->"Out[1]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"DataType", "[", 
  RowBox[{
  "OPEi", ",", " ", "OPEj", ",", "OPEk", ",", "OPEl", ",", " ", "OPEm", ",", 
   " ", "OPEn", ",", " ", "OPEo", ",", " ", "PositiveInteger"}], 
  "]"}]], "Input",
 CellTags->"OPEi",
 CellLabel->"In[2]:=",
 CellID->1628297296],

Cell[BoxData[
 FormBox[
  RowBox[{"{", 
   RowBox[{
   "True", ",", "True", ",", "True", ",", "True", ",", "True", ",", "True", 
    ",", "True"}], "}"}], TraditionalForm]], "Output",
 ImageSize->{259, 16},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"OPEi",
 CellLabel->"Out[2]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"PowerSimplify", "[", 
  RowBox[{"{", 
   RowBox[{
    RowBox[{
     RowBox[{"(", 
      RowBox[{"-", "1"}], ")"}], "^", 
     RowBox[{"(", 
      RowBox[{"2", "OPEi"}], ")"}]}], ",", 
    RowBox[{
     RowBox[{"(", 
      RowBox[{"-", "1"}], ")"}], "^", 
     RowBox[{"(", 
      RowBox[{"2", "OPEj"}], ")"}]}], ",", 
    RowBox[{
     RowBox[{"(", 
      RowBox[{"-", "1"}], ")"}], "^", 
     RowBox[{"(", 
      RowBox[{"2", "OPEk"}], ")"}]}], ",", 
    RowBox[{
     RowBox[{"(", 
      RowBox[{"-", "1"}], ")"}], "^", 
     RowBox[{"(", 
      RowBox[{"2", "OPEl"}], ")"}]}], ",", 
    RowBox[{
     RowBox[{"(", 
      RowBox[{"-", "1"}], ")"}], "^", 
     RowBox[{"(", 
      RowBox[{"2", "OPEm"}], ")"}]}], ",", 
    RowBox[{
     RowBox[{"(", 
      RowBox[{"-", "1"}], ")"}], "^", 
     RowBox[{"(", 
      RowBox[{"2", "OPEn"}], ")"}]}], ",", 
    RowBox[{
     RowBox[{"(", 
      RowBox[{"-", "1"}], ")"}], "^", 
     RowBox[{"(", 
      RowBox[{"2", "OPEo"}], ")"}]}]}], "}"}], "]"}]], "Input",
 CellTags->"OPEi",
 CellLabel->"In[3]:=",
 CellID->233448399],

Cell[BoxData[
 FormBox[
  RowBox[{"{", 
   RowBox[{"1", ",", "1", ",", "1", ",", "1", ",", "1", ",", "1", ",", "1"}], 
   "}"}], TraditionalForm]], "Output",
 ImageSize->{119, 16},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"OPEi",
 CellLabel->"Out[3]="]
}, Open  ]],

Cell["Re has been changed:", "Notes"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{
   RowBox[{
    RowBox[{"Re", "[", "OPEi", "]"}], ">", 
    RowBox[{"-", "3"}]}], ",", " ", 
   RowBox[{
    RowBox[{"Re", "[", "OPEi", "]"}], ">", 
    RowBox[{"-", "2"}]}], ",", " ", 
   RowBox[{
    RowBox[{"Re", "[", "OPEi", "]"}], ">", 
    RowBox[{"-", "1"}]}], ",", "   ", 
   RowBox[{
    RowBox[{"Re", "[", "OPEi", "]"}], ">", "0"}], ",", " ", 
   RowBox[{
    RowBox[{"Re", "[", "OPEi", "]"}], ">", "1"}]}], "}"}]], "Input",
 CellTags->"OPEi",
 CellLabel->"In[4]:=",
 CellID->631981450],

Cell[BoxData[
 FormBox[
  RowBox[{"{", 
   RowBox[{
    RowBox[{
     RowBox[{"Re", "(", "i", ")"}], ">", 
     RowBox[{"-", "3"}]}], ",", 
    RowBox[{
     RowBox[{"Re", "(", "i", ")"}], ">", 
     RowBox[{"-", "2"}]}], ",", 
    RowBox[{
     RowBox[{"Re", "(", "i", ")"}], ">", 
     RowBox[{"-", "1"}]}], ",", 
    RowBox[{
     RowBox[{"Re", "(", "i", ")"}], ">", "0"}], ",", 
    RowBox[{
     RowBox[{"Re", "(", "i", ")"}], ">", "1"}]}], "}"}], 
  TraditionalForm]], "Output",
 ImageSize->{395, 16},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"OPEi",
 CellLabel->"Out[4]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{
   RowBox[{
    RowBox[{"Re", "[", 
     RowBox[{
      RowBox[{"-", "OPEi"}], " ", "+", " ", "OPEm"}], "]"}], " ", ">", " ", 
    "0"}], ",", " ", 
   RowBox[{
    RowBox[{"Re", "[", 
     RowBox[{
      RowBox[{"-", "OPEi"}], " ", "+", " ", "OPEm"}], "]"}], " ", ">", " ", 
    "1"}], ",", 
   RowBox[{
    RowBox[{"Re", "[", 
     RowBox[{
      RowBox[{"-", "OPEi"}], " ", "+", " ", "OPEm"}], "]"}], " ", ">", " ", 
    "2"}]}], "}"}]], "Input",
 CellTags->"OPEi",
 CellLabel->"In[5]:=",
 CellID->1153963056],

Cell[BoxData[
 FormBox[
  RowBox[{"{", 
   RowBox[{
    RowBox[{
     RowBox[{"Re", "(", 
      RowBox[{"m", "-", "i"}], ")"}], ">", "0"}], ",", 
    RowBox[{
     RowBox[{"Re", "(", 
      RowBox[{"m", "-", "i"}], ")"}], ">", "1"}], ",", 
    RowBox[{
     RowBox[{"Re", "(", 
      RowBox[{"m", "-", "i"}], ")"}], ">", "2"}]}], "}"}], 
  TraditionalForm]], "Output",
 ImageSize->{314, 16},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"OPEi",
 CellLabel->"Out[5]="]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{
   RowBox[{
    RowBox[{"Re", "[", "OPEm", "]"}], ">", 
    RowBox[{"-", "3"}]}], ",", " ", 
   RowBox[{
    RowBox[{"Re", "[", "OPEm", "]"}], ">", 
    RowBox[{"-", "2"}]}], ",", " ", 
   RowBox[{
    RowBox[{"Re", "[", "OPEm", "]"}], ">", 
    RowBox[{"-", "1"}]}], ",", "   ", 
   RowBox[{
    RowBox[{"Re", "[", "OPEm", "]"}], ">", "0"}], ",", " ", 
   RowBox[{
    RowBox[{"Re", "[", "OPEm", "]"}], ">", "1"}]}], "}"}]], "Input",
 CellTags->"OPEi",
 CellLabel->"In[6]:=",
 CellID->1255237485],

Cell[BoxData[
 FormBox[
  RowBox[{"{", 
   RowBox[{
    RowBox[{
     RowBox[{"Re", "(", "m", ")"}], ">", 
     RowBox[{"-", "3"}]}], ",", 
    RowBox[{
     RowBox[{"Re", "(", "m", ")"}], ">", 
     RowBox[{"-", "2"}]}], ",", 
    RowBox[{
     RowBox[{"Re", "(", "m", ")"}], ">", 
     RowBox[{"-", "1"}]}], ",", 
    RowBox[{
     RowBox[{"Re", "(", "m", ")"}], ">", "0"}], ",", 
    RowBox[{
     RowBox[{"Re", "(", "m", ")"}], ">", "1"}]}], "}"}], 
  TraditionalForm]], "Output",
 ImageSize->{425, 16},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellTags->"OPEi",
 CellLabel->"Out[6]="]
}, Open  ]]
}, Open  ]]
}, Open  ]],

Cell[" ", "FooterCell"]
},
Saveable->False,
ScreenStyleEnvironment->"Working",
WindowSize->{725, 750},
WindowMargins->{{-10, Automatic}, {Automatic, -8}},
WindowTitle->"OPEi",
TaggingRules->{
 "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> 
  GridBox[{{
      RowBox[{
        ButtonBox[
        "FeynCalc", ButtonData -> "paclet:FeynCalc/guide/FeynCalc", 
         BaseStyle -> {"Link", "DockedLinkTrail"}]}]}}, ColumnAlignments -> 
    Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> 
  None, "RootCaptions" -> "", 
  "Metadata" -> {
   "built" -> "{2020, 6, 20, 19, 9, 1.825531}", 
    "history" -> {"9.0", "", "", ""}, "context" -> "FeynCalc`", 
    "keywords" -> {}, "specialkeywords" -> {}, 
    "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> 
    "Feyn Calc Symbol", "language" -> "en", "paclet" -> "FeynCalc", "status" -> 
    "None", "summary" -> 
    "OPEi etc. are variables with DataType PositiveInteger which are used in \
functions relating to the operator product expansion.", "synonyms" -> {}, 
    "tabletags" -> {}, "title" -> "OPEi", "titlemodifier" -> "", 
    "windowtitle" -> "OPEi", "type" -> "Symbol", "uri" -> 
    "FeynCalc/ref/OPEi"}, "SearchTextTranslated" -> ""},
CellContext->"Global`",
FrontEndVersion->"10.4 for Linux x86 (64-bit) (April 11, 2016)",
StyleDefinitions->Notebook[{
   Cell[
    StyleData[
    StyleDefinitions -> FrontEnd`FileName[{"Wolfram"}, "Reference.nb"]]], 
   Cell[
    StyleData["Input"], CellContext -> "Global`"], 
   Cell[
    StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, 
  FrontEndVersion -> "10.4 for Linux x86 (64-bit) (April 11, 2016)", 
  StyleDefinitions -> "Default.nb"]
]
(* End of Notebook Content *)

(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{
 "PrimaryExamplesSection"->{
  Cell[3574, 105, 387, 15, 31, "PrimaryExamplesSection",
   CellTags->"PrimaryExamplesSection",
   CellID->298343333]},
 "OPEi"->{
  Cell[4207, 134, 93, 3, 27, "Input",
   CellTags->"OPEi",
   CellID->1513541744],
  Cell[4303, 139, 185, 6, 35, "Output",
   CellTags->"OPEi"],
  Cell[4525, 150, 277, 8, 27, "Input",
   CellTags->"OPEi",
   CellID->1628297296],
  Cell[4805, 160, 313, 10, 37, "Output",
   CellTags->"OPEi"],
  Cell[5155, 175, 1093, 41, 45, "Input",
   CellTags->"OPEi",
   CellID->233448399],
  Cell[6251, 218, 287, 9, 37, "Output",
   CellTags->"OPEi"],
  Cell[6615, 234, 536, 18, 45, "Input",
   CellTags->"OPEi",
   CellID->631981450],
  Cell[7154, 254, 614, 22, 37, "Output",
   CellTags->"OPEi"],
  Cell[7805, 281, 552, 20, 27, "Input",
   CellTags->"OPEi",
   CellID->1153963056],
  Cell[8360, 303, 498, 18, 37, "Output",
   CellTags->"OPEi"],
  Cell[8895, 326, 537, 18, 45, "Input",
   CellTags->"OPEi",
   CellID->1255237485],
  Cell[9435, 346, 614, 22, 37, "Output",
   CellTags->"OPEi"]}
 }
*)
(*CellTagsIndex
CellTagsIndex->{
 {"PrimaryExamplesSection", 11945, 419},
 {"OPEi", 12076, 423}
 }
*)
(*NotebookFileOutline
Notebook[{
Cell[576, 21, 2257, 53, 53, "AnchorBarGrid",
 CellID->1],
Cell[2836, 76, 281, 11, 45, "ObjectNameGrid"],
Cell[3120, 89, 429, 12, 102, "Usage",
 CellID->982511436],
Cell[CellGroupData[{
Cell[3574, 105, 387, 15, 31, "PrimaryExamplesSection",
 CellTags->"PrimaryExamplesSection",
 CellID->298343333],
Cell[CellGroupData[{
Cell[3986, 124, 196, 6, 26, "ExampleSection",
 CellID->1847219150],
Cell[CellGroupData[{
Cell[4207, 134, 93, 3, 27, "Input",
 CellTags->"OPEi",
 CellID->1513541744],
Cell[4303, 139, 185, 6, 35, "Output",
 CellTags->"OPEi"]
}, Open  ]],
Cell[CellGroupData[{
Cell[4525, 150, 277, 8, 27, "Input",
 CellTags->"OPEi",
 CellID->1628297296],
Cell[4805, 160, 313, 10, 37, "Output",
 CellTags->"OPEi"]
}, Open  ]],
Cell[CellGroupData[{
Cell[5155, 175, 1093, 41, 45, "Input",
 CellTags->"OPEi",
 CellID->233448399],
Cell[6251, 218, 287, 9, 37, "Output",
 CellTags->"OPEi"]
}, Open  ]],
Cell[6553, 230, 37, 0, 32, "Notes"],
Cell[CellGroupData[{
Cell[6615, 234, 536, 18, 45, "Input",
 CellTags->"OPEi",
 CellID->631981450],
Cell[7154, 254, 614, 22, 37, "Output",
 CellTags->"OPEi"]
}, Open  ]],
Cell[CellGroupData[{
Cell[7805, 281, 552, 20, 27, "Input",
 CellTags->"OPEi",
 CellID->1153963056],
Cell[8360, 303, 498, 18, 37, "Output",
 CellTags->"OPEi"]
}, Open  ]],
Cell[CellGroupData[{
Cell[8895, 326, 537, 18, 45, "Input",
 CellTags->"OPEi",
 CellID->1255237485],
Cell[9435, 346, 614, 22, 37, "Output",
 CellTags->"OPEi"]
}, Open  ]]
}, Open  ]]
}, Open  ]],
Cell[10088, 373, 23, 0, 41, "FooterCell"]
}
]
*)

(* End of internal cache information *)

